Least Common Multiple (LCM) of 115 and 152
The least common multiple (LCM) of 115 and 152 is 17480.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 115 and 152?
First, calculate the GCD of 115 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 152 = 0 remainder 115 |
| 2 | 152 ÷ 115 = 1 remainder 37 |
| 3 | 115 ÷ 37 = 3 remainder 4 |
| 4 | 37 ÷ 4 = 9 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 19 | 3306 |
| 20 and 170 | 340 |
| 121 and 29 | 3509 |
| 53 and 150 | 7950 |
| 14 and 74 | 518 |